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Finding the Fourth Proportional to 197.07, 271.93 and 109.75

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Solution

The fourth proportional to 197.07, 271.93 and 109.75 is: 151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.07 : 271.93 = 109.75 : x
  2. Step 2: Convert to fraction form
    197.07/271.93 = 109.75/x
  3. Step 3: Cross multiply
    197.07x = 271.93 × 109.75
  4. Step 4: Simplify right side
    197.07x = 29,842.41
  5. Step 5: Solve for x
    x = 29,842.41/197.07
  6. Step 6: Final answer
    x = 151.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.